by mail_dinko » Tue Feb 02, 2016 8:39 am
The volume [tex]V=8[/tex] cubic in includes 1/2 sphere (out of the cone, top)+ one whole cone volume. Lets say these are [tex]V_1[/tex] and [tex]V_2[/tex] respectively.
[tex]V=V_1+V_2[/tex]
[tex]V= \frac {1}{2}.\frac {4}{3} \pi r ^3 + \frac {1}{2} \pi r ^2 h[/tex]
Since [tex]d=2 \rightarrow \fbox {r=1}[/tex]
[tex]8= \frac {1}{2}.\frac {4}{3} \pi + \frac {1}{2} \pi h |.6[/tex]
[tex]48= 4 \pi + 3 \pi h \rightarrow \fbox {h = \frac {48-4 \pi}{3 \pi}}[/tex]
[tex]h=3,76 in[/tex]
The volume [tex]V=8[/tex] cubic in includes 1/2 sphere (out of the cone, top)+ one whole cone volume. Lets say these are [tex]V_1[/tex] and [tex]V_2[/tex] respectively.
[tex]V=V_1+V_2[/tex]
[tex]V= \frac {1}{2}.\frac {4}{3} \pi r ^3 + \frac {1}{2} \pi r ^2 h[/tex]
Since [tex]d=2 \rightarrow \fbox {r=1}[/tex]
[tex]8= \frac {1}{2}.\frac {4}{3} \pi + \frac {1}{2} \pi h |.6[/tex]
[tex]48= 4 \pi + 3 \pi h \rightarrow \fbox {h = \frac {48-4 \pi}{3 \pi}}[/tex]
[tex]h=3,76 in[/tex]